Question

Simplify 7^(-2) · 7^7 *

Answer 1

To simplify the expression \( 7^{-2} \cdot 7^{7} \), we can use the property of exponents that states when multiplying with the same base, we add the exponents.

Here's how to do it:

\[
7^{-2} \cdot 7^{7} = 7^{-2 + 7} = 7^{5}
\]

Thus, the simplified expression is:

\[
7^5
\]

If you need the numerical value of \( 7^5 \):

\[
7^5 = 7 \times 7 \times 7 \times 7 \times 7 = 16807
\]

So, the final simplified result is:

\[
7^5 \text{ or } 16807
\]